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Finding the Fourth Proportional to 2,952.45, 4,449.92 and 2,546.49

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Solution

The fourth proportional to 2,952.45, 4,449.92 and 2,546.49 is: 3,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.45 : 4,449.92 = 2,546.49 : x
  2. Step 2: Convert to fraction form
    2,952.45/4,449.92 = 2,546.49/x
  3. Step 3: Cross multiply
    2,952.45x = 4,449.92 × 2,546.49
  4. Step 4: Simplify right side
    2,952.45x = 11,331,664.05
  5. Step 5: Solve for x
    x = 11,331,664.05/2,952.45
  6. Step 6: Final answer
    x = 3,838.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.